1.

L is a line passing through the origin and making an angle theta with the positive direction of x-axis. L_(n) is a line perpendicular to L at a distance n from the origin. L_(n) meets x-axis at A_(n). Distance of A_(n) from the origin O is d_(n). If the geometric mean of d_(1),d_(2),..... d_(n) is 5040 sec theta the value of n is __________.

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